Medal for who can help!

Admission to a dance is $7.00 for a ticket bought in advance and $9.50 for a ticket bought at the door. 300 tickets were sold, for a total of $2405.00. How many tickets of each type were sold?

Thanks in advance!

Question

Medal for who can help!

Admission to a dance is $7.00 for a ticket bought in advance and $9.50 for a ticket bought at the door. 300 tickets were sold, for a total of $2405.00. How many tickets of each type were sold?

Thanks in advance!

luigi0210 · Answer

set up a system of equations:
7x+9.5y=2405
x+y=300

luigi0210 · Answer

solve for x:
x=300-y
------------------------
Sub:
7(300-y)+9.5y=2405
-------------------------
Solve:
2100-7y+9.5y=2405
2.5y=305
y=122
------------------------
plug back in and solve for x:
x+122=300
x=178

luigi0210 · Answer

x=tickets bought in advanced
y=tickets bought at door